On line arrangements with odd multiplicities

2024/03/25 by Golla, Marco · 2 citations
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2403.17260

Abstract

We give restrictions on the weak combinatorics of line arrangements with singular points of odd multiplicity using topological arguments on locally-flat spheres in 4-manifolds. As a corollary, we show that there is no line arrangement comprising 13 lines and with only triple points.

Cited by

• Topological line arrangements and their topological invariants
• Surfaces in 4-manifolds and complex curves

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